A straight joint and method for connecting two adjacent construction elements such as sandwich panels, so as to reduce or minimize thermal bridging across the elements. The sandwich panels each have a core (33, 33'), an outer layer (32, 32'), a cavity (37) defined by a portion of the core, and a pathway (32c 32c') through the outer layer to the cavity. The panels are erected such that the panel cores are in contact with one another. Bonding material (40) is injected into the cavity through the pathway to seal the joint and maintain the panels in fixed relation to one another.